229803013440 has 2240 divisors, whose sum is σ = 1164347509248. Its totient is φ = 41405644800.

The previous prime is 229803013439. The next prime is 229803013511. The reversal of 229803013440 is 44310308922.

229803013440 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 0 + 301 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×229803013440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 229803013395 and 229803013404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 441080380 + ... + 441080900.

Almost surely, 2^229803013440 is an apocalyptic number.

229803013440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229803013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582173754624).

229803013440 is an abundant number, since it is smaller than the sum of its proper divisors (934544495808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229803013440 is a wasteful number, since it uses less digits than its factorization.

229803013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 229803013440 in words is "two hundred twenty-nine billion, eight hundred three million, thirteen thousand, four hundred forty".